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<h1 id="Examples-for-the-Interface-Mesh-Generator-in-2D">Examples for the Interface Mesh Generator in 2D<a class="anchor-link" href="#Examples-for-the-Interface-Mesh-Generator-in-2D">&#182;</a></h1><p>We provide several examples on using <code>interfacemesh</code> to generate an interface-fitted mmesh satisfying the maximum angle condition in two dimensions. We refer to <a href="interfacemeshdoc.html">a simple interface mesh generator</a> for detailed explanation of the algorithm and <code>help interfacemesh</code> for input and output arguments.</p>

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<div class="prompt input_prompt">In&nbsp;[1]:</div>
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<div class=" highlight hl-matlab"><pre><span></span><span class="c">%% circle</span>
<span class="n">box</span> <span class="p">=</span> <span class="p">[</span> <span class="o">-</span><span class="mi">1</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="o">-</span><span class="mi">1</span><span class="p">,</span> <span class="mi">1</span><span class="p">];</span>
<span class="n">h</span> <span class="p">=</span> <span class="mf">0.1</span><span class="p">;</span>
<span class="n">phi</span> <span class="p">=</span> <span class="p">@(</span><span class="n">p</span><span class="p">)</span> <span class="n">sum</span><span class="p">(</span><span class="n">p</span><span class="o">.^</span><span class="mi">2</span><span class="p">,</span> <span class="mi">2</span><span class="p">)</span> <span class="o">-</span> <span class="mf">0.5</span><span class="o">.^</span><span class="mi">2</span><span class="p">;</span>
<span class="p">[</span><span class="n">node</span><span class="p">,</span><span class="n">elem</span><span class="p">,</span><span class="n">interface</span><span class="p">]</span> <span class="p">=</span> <span class="n">interfacemesh</span><span class="p">(</span><span class="n">box</span><span class="p">,</span><span class="n">phi</span><span class="p">,</span><span class="n">h</span><span class="p">);</span>
<span class="n">showmesh</span><span class="p">(</span><span class="n">node</span><span class="p">,</span><span class="n">elem</span><span class="p">);</span>
<span class="n">findedge</span><span class="p">(</span><span class="n">node</span><span class="p">,</span><span class="n">interface</span><span class="p">.</span><span class="n">edge</span><span class="p">,</span><span class="s">&#39;all&#39;</span><span class="p">,</span><span class="s">&#39;noindex&#39;</span><span class="p">,</span><span class="s">&#39;draw&#39;</span><span class="p">);</span>
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<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[2]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-matlab"><pre><span></span><span class="c">%% flower</span>
<span class="p">[</span><span class="n">node</span><span class="p">,</span><span class="n">elem</span><span class="p">,</span><span class="n">interface</span><span class="p">]</span> <span class="p">=</span> <span class="n">interfacemesh</span><span class="p">(</span><span class="n">box</span><span class="p">,@</span><span class="n">phiflower</span><span class="p">,</span><span class="n">h</span><span class="p">);</span>
<span class="n">showmesh</span><span class="p">(</span><span class="n">node</span><span class="p">,</span><span class="n">elem</span><span class="p">);</span>
<span class="n">findedge</span><span class="p">(</span><span class="n">node</span><span class="p">,</span><span class="n">interface</span><span class="p">.</span><span class="n">edge</span><span class="p">,</span><span class="s">&#39;all&#39;</span><span class="p">,</span><span class="s">&#39;noindex&#39;</span><span class="p">,</span><span class="s">&#39;draw&#39;</span><span class="p">);</span>
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<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In&nbsp;[3]:</div>
<div class="inner_cell">
    <div class="input_area">
<div class=" highlight hl-matlab"><pre><span></span><span class="c">%% heart</span>
<span class="p">[</span><span class="n">node</span><span class="p">,</span><span class="n">elem</span><span class="p">,</span><span class="n">interface</span><span class="p">]</span> <span class="p">=</span> <span class="n">interfacemesh</span><span class="p">(</span><span class="n">box</span><span class="p">,@</span><span class="n">phiheart</span><span class="p">,</span><span class="mf">0.5</span><span class="o">*</span><span class="n">h</span><span class="p">);</span>
<span class="n">showmesh</span><span class="p">(</span><span class="n">node</span><span class="p">,</span><span class="n">elem</span><span class="p">);</span>
<span class="n">findedge</span><span class="p">(</span><span class="n">node</span><span class="p">,</span><span class="n">interface</span><span class="p">.</span><span class="n">edge</span><span class="p">,</span><span class="s">&#39;all&#39;</span><span class="p">,</span><span class="s">&#39;noindex&#39;</span><span class="p">,</span><span class="s">&#39;draw&#39;</span><span class="p">);</span>
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